Question

A rectangle of length “8 inches ” and breadth “7 inches ” is rotated ${360}^{\circ }$ about its length. The volume of the resulting cylinder is

• A. $1232inche{s}^3$
• B. $1222inche{s}^3$
• C. $1200inche{s}^3$
• D. $1132inche{s}^3$

Answer 1

The correct option is A

$1232inche{s}^3$

The height of the cylinder
= length of the rectangle
= 8 inches

The radius of the circular base = 7 inches

Volume of the cylinder =$\pi r^{2}h$
$=\frac{22}{7}\times 7\times 7\times 8$

$=1232inche{s}^3$